Plasticity of the unit ball of $c$ and $c_0$

Nikita Leo

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arXiv · 2106.06276

Plasticity of the unit ball of $c$ and $c_0$

Nikita Leo

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Abstract

We prove the plasticity of the unit ball of $c$. That is, we show that every non-expansive bijection from the unit ball of $c$ onto itself is an isometry. We also demonstrate a slightly weaker property for the unit ball of $c_0$ -- we prove that a non-expansive bijection is an isometry, provided that it has a continuous inverse.

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BibTeX RIS

Nikita Leo. 2021-06-11. Plasticity of the unit ball of $c$ and $c_0$. https://arxiv.org/abs/2106.06276

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